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\title{The $n$-Bit Two's Complement Integers}
\author{CS 315}
\date{Fall, 2018}
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\begin{tabular}{|c|c|} \hline
Decimal & Binary \\ \hline\hline
$-2^{n-1}$     & 10 \ldots $000_2$ \\ \hline
$-2^{n-1} + 1$ & 10 \ldots $001_2$ \\ \hline
$\vdots$       & $\vdots$ \\ \hline
      -2       & 11 \ldots $110_2$ \\ \hline
      -1       & 11 \ldots $111_2$ \\ \hline
       0       & 00 \ldots $000_2$ \\ \hline
       1       & 00 \ldots $001_2$ \\ \hline
       2       & 00 \ldots $010_2$ \\ \hline
$\vdots$       & $\vdots$ \\ \hline
$2^{n-1} - 2$  & 01 \ldots $110_2$ \\ \hline
$2^{n-1} - 1$  & 01 \ldots $111_2$ \\ \hline
\end{tabular}
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